Question

In circle D, if the measure of arc Gec is 230 , what is the measure of minor arc GFC

Answer 1

The measure of minor arc GFC is
`130\°`

Explanation:

we know that

In a circle the sum of the major arc plus the minor arc is equal to 360 degrees

see the attached figure to better understand the problem

Let

x------> the major arc GEC

y-----> the minor arc GFC

so

`x+y=360\°`

we have

`x=230\°`

substitute in the equation and solve for y

`230\°+y=360\°`

`y=360\°-230\°=130\°`